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If the angular speed of rotation of an armature of alternating current generator is doubled then the induced electromotive force will be ?? Answer is "doubled"

Explain in detail !!

The induced emf in a alternating current generator is given by

$\epsilon =NBA\omega \mathrm{sin}\left(\omega t\right)\phantom{\rule{0ex}{0ex}}WhereNisthenumberofturns,Bistheappliedmagneticfield\phantom{\rule{0ex}{0ex}}Aistheareaand\omega istheangularvelocity\phantom{\rule{0ex}{0ex}}$

From the above relation as the induced emf is directly proportional to angular speed of rotation, so if the speed gets doubled, induced emf will also get doubled.

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